Download Math 2201 Chapter 1 in class assignment (/20

Math 2201
Chapter 1 in class assignment (/20)
Name_____________
Part 1. Selected Response. Place the letter of the correct response in the space provided.
(/5)
1.
1.___
Tim makes a conjecture about the following situation:
(2)(3)  6
(8)(11)  88
(4)(21)  84
Which statement is true?
A)
Tim deductively concludes that the product of an even and an odd number is even.
B)
Tim inductively concludes that the product of an even and an odd number is even.
C)
Tim deductively concludes that the sum of an even and an odd number is even.
D)
Tim inductively concludes that the sum of an even and an odd number is even.
2.
Using the evidence below, Tina concluded that when an odd number is squared,
2.___
the answer ….
32  9
3.
72  49
132  169
A)
ends in a 9. This conjecture is false.
B)
is an odd number. This conjecture is true.
C)
only B is correct statement.
D)
both A and B are correct statements.
172  289
Kelly made the following conjecture: For all numbers,
n
n 1
n
statement.
A)
This conjecture is true for all numbers.
B)
The conjecture is false and n = 1 is a counterexample.
C)
The conjecture is false and n 
D)
The conjecture is false if n  1
1
2
is a counterexample.
. Choose the correct
3.___
4.
Review the statements provided.
4.___
Mammals have fur or hair.
Lions are classified as mammals.
Choose the correct deductions about lions?
5.
A)
All mammals are lions.
B)
Lions have fur or hair.
C)
Lions do not have fur or hair.
D)
No conclusion can be made.
Find the error in the following number trick
5.___
Choose a number
n
Step 1
Subtract the number from 4
n–4
Step 2
Double it
2n – 8
Add 6
2n – 2
Step 3
Divide by 2
n–1
Step 4
Add 1
n
The result is always the number you started with.
At which step did the error occur?
A)
Step 1
B)
Step 2
C)
Step 3
D)
Step 4
Part 2. Constructed Response. Show all workings to receive full credit for each question.
6.
Conjecture: The product of 2 numbers is always greater than both numbers.
A)
Find an example that supports this conjecture.
(/1)
B)
Find a counterexample.
(/1)
7.
8.
Conjecture:
The sum of a multiple of 6 and a multiple of 9 is always divisible by 3.
A)
Provide three examples that support the above conjecture.
(/3)
B)
Is this inductive or deductive reasoning?
(/1)
Consider the following number trick.
Choose a number.
Add 3.
Multiply by 2.
Add 4.
Divide by 2.
Subtract the number you started with.
The result is ….
A)
Show inductively, using 2 examples, that the result is always 5.
(/2)
B)
Prove deductively that the result is always 5.
(/3)
9.
Show deductively that the sum of three consecutive odd integers is always divisible by 3.
(/4)